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Finding the Third Proportional to 252,964 and 538,700.50

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Solution

The third proportional to 252,964 and 538,700.50 is: 1,147,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,964 : 538,700.50 = 538,700.50 : x
  2. Step 2: Convert to fraction form
    252,964/538,700.50 = 538,700.50/x
  3. Step 3: Cross multiply
    252,964x = 538,700.50 × 538,700.50
  4. Step 4: Simplify right side
    252,964x = 290,198,228,700.25
  5. Step 5: Solve for x
    x = 290,198,228,700.25/252,964
  6. Step 6: Final answer
    x = 1,147,191.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.